World's Best Scientists 2026 revealed!

D-Index & Metrics

Mathematics

D-Index
62
Citations
16853
World Ranking
472
National Ranking
23

Peter Benner publication distribution in Mathematics in 2026

The chart shows the distribution of publications by all Research.com ranked scientists in the field of Mathematics in 2026. The highlighted bar marks where Peter Benner sits on this spectrum.

42–46 publications: 3 scientists 47–51 publications: 5 scientists 52–56 publications: 7 scientists 57–61 publications: 20 scientists 62–66 publications: 14 scientists 67–71 publications: 25 scientists 72–76 publications: 19 scientists 77–81 publications: 35 scientists 82–86 publications: 50 scientists 87–91 publications: 60 scientists 92–96 publications: 86 scientists 97–101 publications: 84 scientists 102–106 publications: 83 scientists 107–111 publications: 90 scientists 112–116 publications: 99 scientists 117–121 publications: 90 scientists 122–126 publications: 91 scientists 127–131 publications: 109 scientists 132–136 publications: 110 scientists 137–141 publications: 98 scientists 142–146 publications: 112 scientists 147–151 publications: 102 scientists 152–156 publications: 88 scientists 157–161 publications: 106 scientists 162–166 publications: 83 scientists 167–171 publications: 102 scientists 172–176 publications: 77 scientists 177–181 publications: 81 scientists 182–186 publications: 78 scientists 187–191 publications: 71 scientists 192–196 publications: 92 scientists 197–201 publications: 64 scientists 202–206 publications: 69 scientists 207–211 publications: 64 scientists 212–216 publications: 62 scientists 217–221 publications: 58 scientists 222–226 publications: 53 scientists 227–231 publications: 50 scientists 232–236 publications: 46 scientists 237–241 publications: 46 scientists 242–246 publications: 46 scientists 247–251 publications: 43 scientists 252–256 publications: 29 scientists 257–261 publications: 45 scientists 262–266 publications: 30 scientists 267–271 publications: 33 scientists 272–276 publications: 34 scientists 277–281 publications: 30 scientists 282–286 publications: 31 scientists 287–291 publications: 21 scientists 292–296 publications: 34 scientists 297–301 publications: 26 scientists 302–306 publications: 10 scientists 307–311 publications: 17 scientists 312–316 publications: 23 scientists 317–321 publications: 13 scientists 322–326 publications: 16 scientists 327–331 publications: 26 scientists 332–336 publications: 13 scientists 337–341 publications: 13 scientists 342–346 publications: 16 scientists 347–351 publications: 17 scientists 352–356 publications: 12 scientists 357–361 publications: 18 scientists 362–366 publications: 18 scientists 367–371 publications: 9 scientists 372–376 publications: 11 scientists 377–381 publications: 8 scientists 382–386 publications: 8 scientists 387–391 publications: 9 scientists 392–396 publications: 9 scientists 397–401 publications: 8 scientists 402–406 publications: 11 scientists 407–411 publications: 6 scientists 412–416 publications: 6 scientists 417–421 publications: 9 scientists 422–426 publications: 8 scientists 427–431 publications: 5 scientists 432–436 publications: 8 scientists 437–441 publications: 8 scientists 442–446 publications: 4 scientists 447–451 publications: 4 scientists 452–456 publications: 4 scientists 457–461 publications: 2 scientists 462–466 publications: 2 scientists 467–471 publications: 4 scientists 472–476 publications: 3 scientists 477–481 publications: 3 scientists 482–486 publications: 6 scientists 487–491 publications: 3 scientists 492–496 publications: 5 scientists 497–501 publications: 5 scientists 502–506 publications: 1 scientists 507–511 publications: 6 scientists 512–516 publications: 4 scientists 517–521 publications: 1 scientists 522–526 publications: 3 scientists 527–531 publications: 1 scientists 532–536 publications: 4 scientists 537+ publications: 100 scientists
42 publications 537+

This scientist: 751 publications — 99th percentile

99% of scientists in this discipline score the same or lower.

The last bar groups every scientist with 537 publications or more.

Peter Benner D-index placement in Mathematics in 2026

The chart shows the D-index (discipline H-index) distribution of Mathematics scientists ranked by Research.com in 2026. The highlighted bar marks where Peter Benner sits on this spectrum.

30 D-Index: 174 scientists 31 D-Index: 151 scientists 32 D-Index: 174 scientists 33 D-Index: 117 scientists 34 D-Index: 136 scientists 35 D-Index: 127 scientists 36 D-Index: 145 scientists 37 D-Index: 153 scientists 38 D-Index: 150 scientists 39 D-Index: 150 scientists 40 D-Index: 138 scientists 41 D-Index: 136 scientists 42 D-Index: 93 scientists 43 D-Index: 108 scientists 44 D-Index: 115 scientists 45 D-Index: 112 scientists 46 D-Index: 103 scientists 47 D-Index: 75 scientists 48 D-Index: 59 scientists 49 D-Index: 67 scientists 50 D-Index: 60 scientists 51 D-Index: 57 scientists 52 D-Index: 59 scientists 53 D-Index: 62 scientists 54 D-Index: 60 scientists 55 D-Index: 50 scientists 56 D-Index: 42 scientists 57 D-Index: 54 scientists 58 D-Index: 50 scientists 59 D-Index: 42 scientists 60 D-Index: 41 scientists 61 D-Index: 35 scientists 62 D-Index: 40 scientists 63 D-Index: 21 scientists 64 D-Index: 31 scientists 65 D-Index: 27 scientists 66 D-Index: 29 scientists 67 D-Index: 19 scientists 68 D-Index: 25 scientists 69 D-Index: 17 scientists 70 D-Index: 18 scientists 71 D-Index: 12 scientists 72 D-Index: 14 scientists 73 D-Index: 13 scientists 74 D-Index: 18 scientists 75 D-Index: 9 scientists 76 D-Index: 11 scientists 77 D-Index: 10 scientists 78 D-Index: 9 scientists 79 D-Index: 16 scientists 80 D-Index: 12 scientists 81 D-Index: 10 scientists 82 D-Index: 5 scientists 83 D-Index: 5 scientists 84 D-Index: 13 scientists 85 D-Index: 6 scientists 86+ D-Index: 99 scientists
30 D-Index 86+

This scientist: 62 D-Index — 87th percentile

87% of scientists in this discipline score the same or lower.

The last bar groups every scientist with 86 D-Index or more.

Research.com Recognitions

  • 2017 - SIAM Fellow For contributions to numerical methods for optimal control and model reduction.

Overview

Peter Benner is affiliated with the Max Planck Institute for Dynamics of Complex Technical Systems in Germany. Their research primarily spans the fields of engineering and physics and astronomy, with significant contributions to statistical and nonlinear physics, control and systems engineering, numerical analysis, computational mechanics, and computational theory and mathematics.

The scientist's work covers major topics such as model reduction and neural networks, numerical methods for differential equations, probabilistic and robust engineering design, matrix theory and algorithms, control systems and identification, real-time simulation and control systems, and fluid dynamics and vibration analysis.

Peter Benner has published research in several frequent venues, including:

  • arXiv (Cornell University)
  • PAMM
  • Advances in Computational Mathematics
  • Zenodo (CERN European Organization for Nuclear Research)
  • Computer Methods in Applied Mechanics and Engineering

Their recent papers include:

  • Operator inference for non-intrusive model reduction of systems with non-polynomial nonlinear terms, 2020, Computer Methods in Applied Mechanics and Engineering
  • An artificial neural network for surrogate modeling of stress fields in viscoplastic polycrystalline materials, 2023, npj Computational Materials
  • Discovery of nonlinear dynamical systems using a Runge-Kutta inspired dictionary-based sparse regression approach, 2022, Proceedings of the Royal Society A Mathematical Physical and Engineering Sciences
  • Interpolation-Based Model Order Reduction for Polynomial Systems, 2021, SIAM Journal on Scientific Computing
  • Frequency- and time-limited balanced truncation for large-scale second-order systems, 2020, Linear Algebra and its Applications

Frequent coauthors collaborating with Peter Benner include:

  • Pawan Goyal
  • Igor Pontes Duff
  • Lihong Feng
  • Jan Heiland
  • Steffen W. R. Werner

Additionally, Peter Benner has contributed to book publications. They have authored works published by Springer Nature, including Model Reduction of Complex Dynamical Systems (2021), and Springer Studium Mathematik - Master with Modellreduktion (2024).

In recognition of their contributions, Peter Benner was named a SIAM Fellow in 2017 for work related to numerical methods for optimal control and model reduction.

Best Publications

  • A Survey of Projection-Based Model Reduction Methods for Parametric Dynamical Systems

    Peter Benner;Serkan Gugercin;Karen Willcox

  • Dimension Reduction of Large-Scale Systems

    Peter Benner;Peter Benner;Volker Mehrmann;Sorensen Danny C.

  • Numerical solution of large‐scale Lyapunov equations, Riccati equations, and linear‐quadratic optimal control problems

    Peter Benner;Jing-Rebecca Li;Thilo Penzl

  • Model Order Reduction for Linear and Nonlinear Systems: A System-Theoretic Perspective

    Ulrike Baur;Peter Benner;Lihong Feng

  • SLICOT—A Subroutine Library in Systems and Control Theory

    Peter Benner;Peter Benner;Volker Mehrmann;Vasile Sima;Sabine Van Huffel

  • Model Reduction and Approximation: Theory and Algorithms

    Peter Benner;Albert Cohen;Mario Ohlberger;Karen Willcox

  • Lyapunov Equations, Energy Functionals, and Model Order Reduction of Bilinear and Stochastic Systems

    Peter Benner;Tobias Damm

  • Interpolatory Projection Methods for Parameterized Model Reduction

    Ulrike Baur;Christopher Beattie;Peter Benner;Serkan Gugercin

  • On the ADI method for Sylvester equations

    Peter Benner;Ren-Cang Li;Ninoslav Truhar

  • Solving stable generalized Lyapunov equations with the matrix sign function

    Peter Benner;Peter Benner;Enrique S. Quintana-Ortí

  • Solving large-scale control problems

    P. Benner

  • Numerical Solution of Large and Sparse Continuous Time Algebraic Matrix Riccati and Lyapunov Equations: A State of the Art Survey

    Peter Benner;Jens Saak

  • Interpolation-Based H2-Model Reduction of Bilinear Control Systems

    Peter Benner;Peter Benner;Tobias Breiten

  • A numerically stable, structure preserving method for computing the eigenvalues of real Hamiltonian or symplectic pencils

    Peter Benner;Peter Benner;Volker Mehrmann;Hongguo Xu

  • An exact line search method for solving generalized continuous-time algebraic Riccati equations

    P. Benner;R. Byers

  • Two-Sided Projection Methods for Nonlinear Model Order Reduction

    Peter Benner;Tobias Breiten

  • Numerical Computation of Deflating Subspaces of Skew-Hamiltonian/Hamiltonian Pencils

    Peter Benner;Peter Benner;Ralph Byers;Volker Mehrmann;Hongguo Xu

  • An Implicitly Restarted Symplectic Lanczos Method for the Hamiltonian Eigenvalue Problem

    Peter Benner;Heike Faβbender

  • Low rank methods for a class of generalized Lyapunov equations and related issues

    Peter Benner;Tobias Breiten

  • Model Reduction of Parametrized Systems

    Peter Benner;Mario Ohlberger;Anthony T. Patera;Gianluigi Rozza

  • A new method for computing the stable invariant subspace of a real Hamiltonian matrix

    Peter Benner;Volker Mehrmann;Hongguo Xu

Frequent Co-Authors

Enrique S. Quintana-Ortí
Enrique S. Quintana-Ortí Universitat Politècnica de València
Volker Mehrmann
Volker Mehrmann Technical University of Berlin
Ralph Byers
Ralph Byers University of Kansas
Andreas Seidel-Morgenstern
Andreas Seidel-Morgenstern Max Planck Society
Kai Sundmacher
Kai Sundmacher Max Planck Institute for Dynamics of Complex Technical Systems
Daniel Kressner
Daniel Kressner École Polytechnique Fédérale de Lausanne
Athanasios C. Antoulas
Athanasios C. Antoulas Rice University
Serkan Gugercin
Serkan Gugercin Virginia Tech
Karen Willcox
Karen Willcox The University of Texas at Austin
Mario Ohlberger
Mario Ohlberger University of Münster

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